$\frac{ 1 }{ 4 } \times 4z+7=-z+1$
Cancel out the greatest common factor $4$$z+7=-z+1$
Move the variable to the left-hand side and change its sign$z+7+z=1$
Move the constant to the right-hand side and change its sign$z+z=1-7$
Collect like terms$2z=1-7$
Calculate the difference$2z=-6$
Divide both sides of the equation by $2$$z=-3$